International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
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Volume 147 - Issue 1 |
Published: Aug 2016 |
Authors: A. Ganapathi Rao, N. Ravi Shankar |
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A. Ganapathi Rao, N. Ravi Shankar . Characters for the Permutation Group of Degree n using Specht Module and Semi Standard Young Tableaux. International Journal of Computer Applications. 147, 1 (Aug 2016), 7-11. DOI=10.5120/ijca2016910734
@article{ 10.5120/ijca2016910734, author = { A. Ganapathi Rao,N. Ravi Shankar }, title = { Characters for the Permutation Group of Degree n using Specht Module and Semi Standard Young Tableaux }, journal = { International Journal of Computer Applications }, year = { 2016 }, volume = { 147 }, number = { 1 }, pages = { 7-11 }, doi = { 10.5120/ijca2016910734 }, publisher = { Foundation of Computer Science (FCS), NY, USA } }
%0 Journal Article %D 2016 %A A. Ganapathi Rao %A N. Ravi Shankar %T Characters for the Permutation Group of Degree n using Specht Module and Semi Standard Young Tableaux%T %J International Journal of Computer Applications %V 147 %N 1 %P 7-11 %R 10.5120/ijca2016910734 %I Foundation of Computer Science (FCS), NY, USA
For any partition, the corresponding Specht module is the sub module of permutation module spanned by the poly-tabloids. The Specht modules for a partition of a positive integer n form a complete list of irreducible representations of permutation group of degree n. The Semi-Standard Young Tableau (SSYT), on n -symbols are one type of combinatorial objects occur naturally in many computational problems in Science, Engineering and Technology, which have one-to-one correspondence with Gelfand–Tzetlin bases set of the Unitary group U (n).In this paper, we propose a method to construct character table of permutation group of degree n using Specht module and Semi Standard Young Tableaux. This method is illustrated with an example using a partition of degree 5 in permutation group S5.